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Variational Inequality Problems With a Continuum of Solutions : Existence and Computation

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  • Herings, P.J.J.

    (Tilburg University, Center For Economic Research)

  • Talman, A.J.J.

    (Tilburg University, Center For Economic Research)

  • Yang, Z.F.

Abstract

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  • Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 1999. "Variational Inequality Problems With a Continuum of Solutions : Existence and Computation," Discussion Paper 1999-72, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:73e2f01b-ad4d-4447-95ba-a9c16fa58b08
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    1. Talman, A.J.J. & Yamamoto, Y., 1989. "A simplicial algorithm for stationary point problems on polytopes," Other publications TiSEM 0d6b2de0-17c0-4d5e-963f-5, Tilburg University, School of Economics and Management.
    2. Demarzo, Peter M. & Eaves, B. Curtis, 1996. "Computing equilibria of GEI by relocalization on a Grassmann manifold," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 479-497.
    3. Dai, Y. & van der Laan, G. & Talman, A.J.J. & Yamamoto, Y., 1989. "A simplicial algorithm for the nonlinear stationary point problem on an unbounded polyhedron," Other publications TiSEM 82992276-1868-4b56-a937-0, Tilburg University, School of Economics and Management.
    4. Yamamoto, Yoshitsugu, 1993. "A Path-Following Procedure to Find a Proper Equilibrium of Finite Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(3), pages 249-259.
    5. Talman, A.J.J. & van der Laan, G., 1979. "A restart algorithm for computing fixed points without an extra dimension," Other publications TiSEM 1f2102f8-e6da-4e9c-a2ed-9, Tilburg University, School of Economics and Management.
    6. Herings, P.J.J. & Talman, A.J.J. & Zang, Z., 1994. "The computation of a continuum of constrained equilibria," Other publications TiSEM a581166f-d9d3-489a-b48e-a, Tilburg University, School of Economics and Management.
    7. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(1), pages 151-159, February.
    8. P. J. J. Herings & A. J. J. Talman, 1998. "Intersection Theorems with a Continuum of Intersection Points," Journal of Optimization Theory and Applications, Springer, vol. 96(2), pages 311-335, February.
    9. Donald J. Brown & Peter M. Demarzo & B. Curtis Eaves, 1996. "Computing Zeros of Sections of Vector Bundles Using Homotopies and Relocalization," Mathematics of Operations Research, INFORMS, vol. 21(1), pages 26-43, February.
    10. A. J. J. Talman & Y. Yamamoto, 1989. "A Simplicial Algorithm for Stationary Point Problems on Polytopes," Mathematics of Operations Research, INFORMS, vol. 14(3), pages 383-399, August.
    11. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(5), pages 687-698, October.
    12. Herbert E. Scarf, 1967. "The Approximation of Fixed Points of a Continuous Mapping," Cowles Foundation Discussion Papers 216R, Cowles Foundation for Research in Economics, Yale University.
    13. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(3), pages 381-386, June.
    14. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(4), pages 525-537, August.
    15. Herings, P Jean-Jacques, 1996. "Equilibrium Existence Results for Economies with Price Rigidities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 63-80, January.
    16. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(2), pages 285-292, April.
    17. Jean-Jacques Herings & Dolf Talman & Zaifu Yang, 1996. "The Computation of a Continuum of Constrained Equilibria," Mathematics of Operations Research, INFORMS, vol. 21(3), pages 675-696, August.
    18. Herings, P. Jean-Jacques, 1998. "On the existence of a continuum of constrained equilibria1," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 257-273, October.
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    Cited by:

    1. Dolf Talman & Zaifu Yang, 2012. "On a Parameterized System of Nonlinear Equations with Economic Applications," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 644-671, August.
    2. Talman, A.J.J. & Yang, Z.F., 2003. "On the Connectedness of Coincidences and Zero Points of Mappings," Other publications TiSEM b061dd09-2b7f-4fe3-af6e-d, Tilburg University, School of Economics and Management.
    3. P. J. J. Herings & G. A. Koshevoy & A. J. J. Talman & Z. Yang, 2004. "General Existence Theorem of Zero Points," Journal of Optimization Theory and Applications, Springer, vol. 120(2), pages 375-394, February.
    4. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2011. "Solving discrete systems of nonlinear equations," European Journal of Operational Research, Elsevier, vol. 214(3), pages 493-500, November.
    5. Talman, A.J.J. & Yang, Z.F., 2004. "The Computation of a Coincidence of Two Mappings," Other publications TiSEM 9fbcc219-da4d-4564-b4e3-6, Tilburg University, School of Economics and Management.

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